Modern Stochastics: Theory and Applications

Augustin, T.: An exact corrected log-likelihood function for Cox’s proportional hazards model under measurement error and some extensions. Scand. J. Stat. 31(1), 43–50 (2004). MR2042597. https://doi.org/10.1111/j.1467-9469.2004.00371.x

Augustin, T., Döring, A., Rummel, D.: Regression calibration for Cox regression under heteroscedastic measurement error—determining risk factors of cardiovascular diseases from error-prone nutritional replication data. In: Recent Advances in Linear Models and Related Areas, pp. 253–278. Springer (2008). MR2523854. https://doi.org/10.1007/978-3-7908-2064-5_13

Breslow, N.: Covariance analysis of censored survival data. Biometrics, 89–99 (1974)

Cox, D.R.: Regression models and life-tables. J. Roy. Statist. Soc. Ser. B 34, 187–220 (1972). MR0341758

Durot, C., Lopuhaä, H.P.: Limit theory in monotone function estimation. Statist. Sci. 33(4), 547–567 (2018). MR3881208. https://doi.org/10.1214/18-STS664

Feller, W.: An Introduction to Probability Theory and Its Applications. Vol. I, 509 (1968). MR0228020

Grenander, U.: On the theory of mortality measurement. II. Skand. Aktuarietidskr. 39, 125–1531957 (1956). MR0093415. https://doi.org/10.1080/03461238.1956.10414944

Groeneboom, P., Jongbloed, G.: Some developments in the theory of shape constrained inference. Statist. Sci. 33(4), 473–492 (2018). MR3881204. https://doi.org/10.1214/18-STS657

Kalbfleisch, J.D., Prentice, R.L.: The Statistical Analysis of Failure Time Data vol. 360. John Wiley & Sons (2011) MR0570114

Kong, F.H., Gu, M.: Consistent estimation in Cox proportional hazards model with covariate measurement errors. Statist. Sinica 9(4), 953–969 (1999). MR1744820

Kukush, A., Baran, S., Fazekas, I., Usoltseva, E.: Simultaneous estimation of baseline hazard rate and regression parameters in Cox proportional hazards model with measurement error. J. Statist. Res. 45(2), 77–94 (2011). MR2934363

Kukush, O.G., Chernova, O.O.: Consistent estimation in the Cox proportional hazards model with measurement errors under an unboundedness condition for the parameter set. Teor. Ĭmovı¯r. Mat. Stat. 96, 100–109 (2017). MR3666874. https://doi.org/10.1090/tpms/1036

Lawless, J.F.: Statistical Models and Methods for Lifetime Data vol. 362. John Wiley & Sons (2011) MR0640866

Lopuhaä, H.P., Nane, G.F.: Shape constrained non-parametric estimators of the baseline distribution in Cox proportional hazards model. Scand. J. Stat. 40(3), 619–646 (2013). MR3091700. https://doi.org/10.1002/sjos.12008

Qin, J., Deng, G., Ning, J., Yuan, A., Shen, Y.: Estrogen receptor expression on breast cancer patients’ survival under shape-restricted Cox regression model. Ann. Appl. Stat. 15(3), 1291–1307 (2021). MR4316649. https://doi.org/10.1214/21-aoas1446

Samworth, R.J.: Recent progress in log-concave density estimation. Statist. Sci. 33(4), 493–509 (2018). MR3881205. https://doi.org/10.1214/18-STS666

Wallace, M.: Analysis in an imperfect world. Significance 17(1), 14–19 (2020). MR4446481